According to my understanding, load/store operations would access some data of a virtual memory address(vaddr), and this vaddr would be translated into physical address(paddr) in order to be fulfilled by the memory hierarchy.
The translation process would first look up in TLB, if no match is found, a multi level(?) page table look up is then triggered.
My question is: will the page table be put in L1D cache, L2 cache or LLC, besides the quite limited TLB entries?